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Finding the Fourth Proportional to 4,781.58, 7,166.25 and 3,857.57

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Solution

The fourth proportional to 4,781.58, 7,166.25 and 3,857.57 is: 5,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.58 : 7,166.25 = 3,857.57 : x
  2. Step 2: Convert to fraction form
    4,781.58/7,166.25 = 3,857.57/x
  3. Step 3: Cross multiply
    4,781.58x = 7,166.25 × 3,857.57
  4. Step 4: Simplify right side
    4,781.58x = 27,644,311.01
  5. Step 5: Solve for x
    x = 27,644,311.01/4,781.58
  6. Step 6: Final answer
    x = 5,781.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.